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Finding the Fourth Proportional to 275,429.10, 413,143.65 and 75,780.30

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Solution

The fourth proportional to 275,429.10, 413,143.65 and 75,780.30 is: 113,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.10 : 413,143.65 = 75,780.30 : x
  2. Step 2: Convert to fraction form
    275,429.10/413,143.65 = 75,780.30/x
  3. Step 3: Cross multiply
    275,429.10x = 413,143.65 × 75,780.30
  4. Step 4: Simplify right side
    275,429.10x = 31,308,149,740.10
  5. Step 5: Solve for x
    x = 31,308,149,740.10/275,429.10
  6. Step 6: Final answer
    x = 113,670.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.